Search Legislation

Advanced Search

Commission Directive 2005/78/EC (repealed)Show full title

Commission Directive 2005/78/EC of 14 November 2005 implementing Directive 2005/55/EC of the European Parliament and of the Council on the approximation of the laws of the Member States relating to the measures to be taken against the emission of gaseous and particulate pollutants from compression-ignition engines for use in vehicles, and the emission of gaseous pollutants from positive ignition engines fuelled with natural gas or liquefied petroleum gas for use in vehicles and amending Annexes I, II, III, IV and VI thereto (Text with EEA relevance) (repealed)

Help about what version

What Version

Help about UK-EU Regulation

Legislation originating from the EU

When the UK left the EU, legislation.gov.uk published EU legislation that had been published by the EU up to IP completion day (31 December 2020 11.00 p.m.). On legislation.gov.uk, these items of legislation are kept up-to-date with any amendments made by the UK since then.

Close

This item of legislation originated from the EU

Legislation.gov.uk publishes the UK version. EUR-Lex publishes the EU version. The EU Exit Web Archive holds a snapshot of EUR-Lex’s version from IP completion day (31 December 2020 11.00 p.m.).

Status:

This is the original version (as it was originally adopted).

Appendix 4DETERMINATION OF SYSTEM EQUIVALENCE

The determination of system equivalency according to section 6.2 of this Annex shall be based on a 7 sample pair (or larger) correlation study between the candidate system and one of the accepted reference systems of this Directive using the appropriate test cycle(s). The equivalency criteria to be applied shall be the F-test and the two-sided Student t-test.

This statistical method examines the hypothesis that the population standard deviation and mean value for an emission measured with the candidate system do not differ from the standard deviation and population mean value for that emission measured with the reference system. The hypothesis shall be tested on the basis of a 5 % significance level of the F and t values. The critical F and t values for 7 to 10 sample pairs are given in the table below. If the F and t values calculated according to the formulae below are greater than the critical F and t values, the candidate system is not equivalent.

The following procedure shall be followed. The subscripts R and C refer to the reference and candidate system, respectively:

(a)

Conduct at least 7 tests with the candidate and reference systems preferably operated in parallel. The number of tests is referred to as nR and nC.

(b)

Calculate the mean values xR and xC and the standard deviations sR and sC.

(c)

Calculate the F value, as follows:

(the greater of the two standard deviations SR or SC must be in the numerator)

(d)

Calculate the t value, as follows:

(e)

Compare the calculated F and t values with the critical F and t values corresponding to the respective number of tests indicated in table below. If larger sample sizes are selected, consult statistical tables for 5 % significance (95 % confidence) level.

(f)

Determine the degrees of freedom (df), as follows:

for the F-test

:

df = nR – 1 / nC – 1

for the t-test

:

df = nC + nR – 2

F and t values for selected sample sizes
Sample SizeF-testt-test
dfFcritdftcrit
76/64,284122,179
87/73,787142,145
98/83,438162,120
109/93,179182,101
(g)

Determine the equivalency, as follows:

  • if F < Fcrit and t < tcrit, then the candidate system is equivalent to the reference system of this Directive,

  • if F ≥ Fcrit and t ≥ tcrit, then the candidate system is different from the reference system of this Directive.

Back to top

Options/Help

Print Options

You have chosen to open the Whole Directive

The Whole Directive you have selected contains over 200 provisions and might take some time to download. You may also experience some issues with your browser, such as an alert box that a script is taking a long time to run.

Would you like to continue?

You have chosen to open Schedules only

The Schedules you have selected contains over 200 provisions and might take some time to download. You may also experience some issues with your browser, such as an alert box that a script is taking a long time to run.

Would you like to continue?

Close

Legislation is available in different versions:

Latest Available (revised):The latest available updated version of the legislation incorporating changes made by subsequent legislation and applied by our editorial team. Changes we have not yet applied to the text, can be found in the ‘Changes to Legislation’ area.

Original (As adopted by EU): The original version of the legislation as it stood when it was first adopted in the EU. No changes have been applied to the text.

Close

Opening Options

Different options to open legislation in order to view more content on screen at once

Close

More Resources

Access essential accompanying documents and information for this legislation item from this tab. Dependent on the legislation item being viewed this may include:

  • the original print PDF of the as adopted version that was used for the EU Official Journal
  • lists of changes made by and/or affecting this legislation item
  • all formats of all associated documents
  • correction slips
  • links to related legislation and further information resources
Close

More Resources

Use this menu to access essential accompanying documents and information for this legislation item. Dependent on the legislation item being viewed this may include:

  • the original print PDF of the as adopted version that was used for the print copy
  • correction slips

Click 'View More' or select 'More Resources' tab for additional information including:

  • lists of changes made by and/or affecting this legislation item
  • confers power and blanket amendment details
  • all formats of all associated documents
  • links to related legislation and further information resources

The data on this page is available in the alternative data formats listed: